## anonymous 3 years ago Prove using coordinate geometry: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

1. anonymous

|dw:1359842711196:dw| choose the perpendicular bisector to be the $$y$$-axis, and the length of the segment $$2a$$, so that $$Q(-a,0)$$ and $$R(a,0)$$ compute $$\overline{PQ}$$ and $$\overline{PR}$$

2. anonymous

let $$P(0,y)$$